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A081864
Sum of 5th powers of the divisors of odd numbers: a(n) = sigma_5(2n-1).
(Formerly N2353)
1
1, 244, 3126, 16808, 59293, 161052, 371294, 762744, 1419858, 2476100, 4101152, 6436344, 9768751, 14408200, 20511150, 28629152, 39296688, 52541808, 69343958, 90595736, 115856202, 147008444, 185349918, 229345008, 282492057, 346445352
OFFSET
1,2
REFERENCES
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
MAPLE
with(numtheory); [seq(sigma[5](2*n-1), n=1..100)];
MATHEMATICA
DivisorSigma[5, Range[1, 61, 2]] (* Harvey P. Dale, Jan 12 2016 *)
PROG
(PARI) a(n) = sigma(2*n-1, 5); \\ Michel Marcus, Aug 17 2019
(Magma) [DivisorSigma(5, 2*n-1):n in [1..30]]; // Marius A. Burtea, Aug 17 2019
CROSSREFS
Cf. A001160.
Sequence in context: A203349 A262092 A178266 * A002594 A194134 A085440
KEYWORD
nonn
AUTHOR
N. J. A. Sloane. This sequence was in the 1973 "Handbook", but then was deleted from the database because of confusion with A002594. Resubmitted by Benoit Cloitre, Apr 12 2003. Entry revised by N. J. A. Sloane, Jun 10 2012
EXTENSIONS
Definition clarified by Harvey P. Dale, Jan 12 2016
STATUS
approved